Solve using the five-step method. In 2008 , Lil Wayne's "The...

Name: Problem 47, Chapter 3: Beginning and Intermediate Algebra
Uploaded: 2021-03-01T15:58:08-08:00
Duration: 2 min 57 s
Channel: Brandon Fox
Description: Solve using the five-step method. In 2008 , Lil Wayne's "The Carter III" sold 0.73 million more copies than Coldplay's "Viva La Vida.... " Taylor Swift came in third place with her "Fearless" album, selling 0.04 million fewer copies than Coldplay. The three artists sold a total of 7.14 million albums. How many albums did each artist sell? (www.billboard.com)

Solve using the five-step method. In 2008 , Lil Wayne's "The Carter III" sold 0.73 million more copies than Coldplay's "Viva La Vida.... " Taylor Swift came in third place with her "Fearless" album, selling 0.04 million fewer copies than Coldplay. The three artists sold a total of 7.14 million albums. How many albums did each artist sell? (www.billboard.com)

Solve using the five-step method.
In 2008 , Lil Wayne's "The Carter III" sold 0.73 million more copies than Coldplay's "Viva La Vida.... " Taylor Swift came in third place with her "Fearless" album, selling 0.04 million fewer copies than Coldplay. The three artists sold a total of 7.14 million albums. How many albums did each artist sell? (www.billboard.com)

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Key Concepts

Defining Variables

The first step in solving word problems is to identify and define the unknown quantities as variables. This allows the relationships described in the problem to be represented algebraically.

Translating Relationships into Equations

Next, the problem's verbal descriptions of how the quantities are related—such as differences or sums—are converted into mathematical equations. This step is crucial for formulating the problem in a way that can be solved systematically.

Setting up a System of Linear Equations

Once the relationships are translated into equations, they usually form a system of linear equations. This system encapsulates all the given information about how the unknowns interact, providing a structured approach to finding a solution.

Solving Linear Equations

With a system in place, algebraic methods such as substitution or elimination are used to solve for the variables. This step involves performing operations that simplify the equations and isolate the unknowns.

Verifying and Interpreting the Solution

Finally, it is important to check that the solution satisfies all the initial conditions of the word problem and to interpret the results in context. This ensures the solution is both mathematically accurate and meaningful in relation to the original problem.

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